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In an adaptive optics system, proportion-integration-differentiation (PID) controller is widely used for correcting wave front, but the controller is strictly dependent on the response model of deformable mirror. In this paper, a novel wave front correction method is proposed. The method, combining fuzzy control and PID control, does not depend on the response model of the deformable mirror. Based on rapid wave front reconstruction, the wave front evaluation indexes, extracted from the reconstructed wave front, are employed for the input of fuzzy controller and PID controller. Thus, the model response matrix of deformable mirror is not required. Each actuator of deformable mirror corresponds to an independent fuzzy PID controller. By designing the fuzzy controller, including fuzzy rule base selection and fuzzy reasoning, the three parameters of PID controller, the proportional kp, the integral ki and the differential kd, are adjusted automatically. A high rapid DSP hardware platform is constructed to verify the method. Test results show that the method can be used to correct the diffraction limit multiplication factor of the light spot from 10-12 to 3-4, which is basically the same as the traditional PID control, but its stability is better. Because the model does not need to calibrate the deformable mirror, the installation of the deformable mirror is easier.
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Keywords:
- adaptive optics /
- fuzzy controlling /
- wave front correction /
- deformable mirror
[1] Facomprez A, Beaurepaire E, Debarre D 2012 Opt. Express 20 2598
[2] Yang Q Y, Zhao J Y, Wang M H, Jia J L 2015 Opt. Lett. 40 1235
[3] Yang H Z, Wu J, Gong C L 2014 Acta Opt. Sin. 34 0801002 (in Chinese) [杨慧珍, 吴健, 龚成龙 2014 光学学报 34 0801002]
[4] Zheng Z Y, Li C W, Li B M, Zhang S J 2013 Chin. Opt. Lett. 11 110101
[5] Yan Z J, Li X Y, Rao C H 2013 Acta Opt. Sin. 33 0301002 (in Chinese) [颜召军, 李新阳, 饶长辉 2013 光学学报 33 0301002]
[6] Tesch J, Truong T, Burruss R, Gibson S 2015 Opt. Lett. 40 1575
[7] Kudryashov A, Alexandrov A, Rukosuev A, Samarkin V, Galarneau P, Turbide S, Chateauneuf F 2015 Appl. Opt. 54 4352
[8] Guo Y M, Ma X Y, Rao C H 2014 Acta Phys. Sin. 63 069502 (in Chinese) [郭友明, 马晓燠, 饶长辉 2014 63 069502]
[9] Guo Y M, Rao C H, Bao H, Zhang A, Wei K 2014 Acta Phys. Sin. 63 149501 (in Chinese) [郭友明, 饶长辉, 鲍华, 张昂, 魏凯 2014 63 149501]
[10] Klug M, Castelan E B, Leite V J S, Silva L F P 2015 Fuzzy Sets Syst. 263 92
[11] Liu Y J, Tong S C 2015 Fuzzy Sets Syst. 263 49
[12] Liu Z W, Xie C L, Liu Q H, Yuan X W 2014 Chin. J. Lasers 41 1102007 (in Chinese) [刘章文, 谢川林, 刘七华, 袁学文 2014 中国激光 41 1102007]
[13] Li Z, Zhou J, Xue Y H, He B, Liu C, Qi Y F, Dong J X, Wei Y R, Lou Q H, Pan Z Y 2011 Chin. J. Lasers 38 0402002 (in Chinese) [李震, 周军, 薛宇豪, 何兵, 刘驰, 漆云风, 董景显, 魏运荣, 楼祺洪, 潘志勇 2011 中国激光 38 0402002]
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[1] Facomprez A, Beaurepaire E, Debarre D 2012 Opt. Express 20 2598
[2] Yang Q Y, Zhao J Y, Wang M H, Jia J L 2015 Opt. Lett. 40 1235
[3] Yang H Z, Wu J, Gong C L 2014 Acta Opt. Sin. 34 0801002 (in Chinese) [杨慧珍, 吴健, 龚成龙 2014 光学学报 34 0801002]
[4] Zheng Z Y, Li C W, Li B M, Zhang S J 2013 Chin. Opt. Lett. 11 110101
[5] Yan Z J, Li X Y, Rao C H 2013 Acta Opt. Sin. 33 0301002 (in Chinese) [颜召军, 李新阳, 饶长辉 2013 光学学报 33 0301002]
[6] Tesch J, Truong T, Burruss R, Gibson S 2015 Opt. Lett. 40 1575
[7] Kudryashov A, Alexandrov A, Rukosuev A, Samarkin V, Galarneau P, Turbide S, Chateauneuf F 2015 Appl. Opt. 54 4352
[8] Guo Y M, Ma X Y, Rao C H 2014 Acta Phys. Sin. 63 069502 (in Chinese) [郭友明, 马晓燠, 饶长辉 2014 63 069502]
[9] Guo Y M, Rao C H, Bao H, Zhang A, Wei K 2014 Acta Phys. Sin. 63 149501 (in Chinese) [郭友明, 饶长辉, 鲍华, 张昂, 魏凯 2014 63 149501]
[10] Klug M, Castelan E B, Leite V J S, Silva L F P 2015 Fuzzy Sets Syst. 263 92
[11] Liu Y J, Tong S C 2015 Fuzzy Sets Syst. 263 49
[12] Liu Z W, Xie C L, Liu Q H, Yuan X W 2014 Chin. J. Lasers 41 1102007 (in Chinese) [刘章文, 谢川林, 刘七华, 袁学文 2014 中国激光 41 1102007]
[13] Li Z, Zhou J, Xue Y H, He B, Liu C, Qi Y F, Dong J X, Wei Y R, Lou Q H, Pan Z Y 2011 Chin. J. Lasers 38 0402002 (in Chinese) [李震, 周军, 薛宇豪, 何兵, 刘驰, 漆云风, 董景显, 魏运荣, 楼祺洪, 潘志勇 2011 中国激光 38 0402002]
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